Highest Common Factor of 235, 329, 340 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 235, 329, 340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 235, 329, 340 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 235, 329, 340 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 235, 329, 340 is 1.

HCF(235, 329, 340) = 1

HCF of 235, 329, 340 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 235, 329, 340 is 1.

Highest Common Factor of 235,329,340 using Euclid's algorithm

Highest Common Factor of 235,329,340 is 1

Step 1: Since 329 > 235, we apply the division lemma to 329 and 235, to get

329 = 235 x 1 + 94

Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 94 and 235, to get

235 = 94 x 2 + 47

Step 3: We consider the new divisor 94 and the new remainder 47, and apply the division lemma to get

94 = 47 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 235 and 329 is 47

Notice that 47 = HCF(94,47) = HCF(235,94) = HCF(329,235) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 340 > 47, we apply the division lemma to 340 and 47, to get

340 = 47 x 7 + 11

Step 2: Since the reminder 47 ≠ 0, we apply division lemma to 11 and 47, to get

47 = 11 x 4 + 3

Step 3: We consider the new divisor 11 and the new remainder 3, and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 47 and 340 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(47,11) = HCF(340,47) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 235, 329, 340 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 235, 329, 340?

Answer: HCF of 235, 329, 340 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 235, 329, 340 using Euclid's Algorithm?

Answer: For arbitrary numbers 235, 329, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.